Simplify Expressions With Square Root

Example on simplifying square root expressions .

Example 1


Simplify the expression $3\sqrt{25y} -3\sqrt y$

  1. $0$
  2. $6 \sqrt{6y}$
  3. $15 y - 3\sqrt y$
  4. $12 \sqrt y$
  5. $15 \sqrt y$

Solution

This example is about simplifying algebraic expressions including Square Roots.

  1. First note that $\sqrt{25y}$ can be simplified as follows

    $\sqrt{25y}=\sqrt{25}\sqrt{y}=5 \sqrt y$


  2. We now substitute $\sqrt{25y}$ by $5 \sqrt y$ in the given expression and simplify

    $3\sqrt{25y} -3\sqrt y=3 \cdot 5\sqrt y-3\sqrt y$

    $=15\sqrt y - 3\sqrt y$

    $= 12\sqrt y$

    Answer D